506550000 has 240 divisors, whose sum is σ = 1790135424. Its totient is φ = 122400000.

The previous prime is 506549977. The next prime is 506550001. The reversal of 506550000 is 55605.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506550001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649847 + ... + 1650153.

Almost surely, 2^506550000 is an apocalyptic number.

506550000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895067712).

506550000 is an abundant number, since it is smaller than the sum of its proper divisors (1283585424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506550000 is a wasteful number, since it uses less digits than its factorization.

506550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 506550000 is about 22506.6656793049. The cubic root of 506550000 is about 797.1513266989.

The spelling of 506550000 in words is "five hundred six million, five hundred fifty thousand".